Answer:
9.53939201
Yes I did have a good Valentines thx for asking
Based on the calculations, the sum of this geometric series is equal to 9,990.
<h3>The standard form of a geometric series.</h3>
Mathematically, the standard form of a geometric series can be represented by the following expression:
Where:
- a₁ is the first term of a geometric series.
<h3>How to calculate the sum of a geometric series?</h3>
Also, the sum of a geometric series is given by this mathematical expression:
<u>Given the following data:</u>
- Common ratio, r = 900/9000 = 0.1
Substituting the given parameters into the formula, we have;
S = 9000(0.999)/0.9
S = 8,991/0.9
S = 9,990.
Read more on geometric series here: brainly.com/question/12630565
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Answer:
27
Step-by-step explanation:
Given that :
Dimension of poster board = 1 yd by 1 yd
Dimension of each poster sign = 1/3 yd by 1/9 yd
Number of poster signs that can be cut :
Area of poster sign = 1/3 * 1/9 = 1/27 yard²
Area of poster board = 1 yard²
Number of poster signs that can be cut :
Area of poster board / area of poster sign
1 yard² ÷ (1/27) yard²
1 ÷ 1/27
1 * 27/1
= 27 poster signs
Answer:
Length = 37 feets
Width = 44 feets
Step-by-step explanation:
Given that :
Length = l
Width, w = 7 + l
Perimeter , P of rectangle = 162
Recall:
Perimeter of a rectangle = 2(l + w)
P = 2(l + w)
162 = 2(l + (7 + l))
162 = 2(l + 7 + l)
162 = 2(7 + 2l)
162 = 14 + 4l
162 - 14 = 4l
148 = 4l
l = 148 / 4
l = 37 feets
Width = l + 7
Hence,
Width = 37 + 7 = 44 feets
Answer:
1. 5
2. 8
Step-by-step explanation:
